The Solid State

For a solid with face-centered cubic (fcc) structure, the relation between the side length

a

and atomic radius

r

is:

a%20%3D%202%5Csqrt%7B2%7Dr.

For the solid with simple cubic structure, the relation between the side length

a'

and atomic radius

r

is:

a'%20%3D%202r.

Now, let the side length of the simple cubic unit cell be

a'

. Given the relation for the fcc unit cell side length

a%20%3D%202%5Ctext%7BA%7D

, we can solve for the side length

a'

of the simple cubic unit cell:

2%5Csqrt%7B2%7Dr%20%3D%204r%20%5Cquad%20%5CRightarrow%20%5Cquad%20a'%20%3D%20%5Csqrt%7B2%7D%20%5C%2C%20%5Ctext%7BA%7D.

Thus, the side length of the unit cell for the simple cubic lattice will be

%5Csqrt%7B2%7D%20%5C%2C%20%5Ctext%7BA%7D

Chapter Questions
1 MCQs